Three Dimensional Geometry
A line segment has length 63 and direction ratios are 3,−2,6. The components of the line vector are
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Find the equation of the plane passing through (3,4,−1),
which is parallel to the plane r2i^−3j^+5k^˙+7=0.
The lines which intersect
the skew lines y=mx,z=c;y=−mx,z=−c
and the x-axis lie on the surface:
(d.) none of these
Find the vector equation of a line passing through 3i^−5j^+7k^
and perpendicular to theplane 3x−4y+5z=8.
A plane passes through a fixed point (a, b, c). The locus of the foot of the perpendicular to it from the origin is the sphere
A line passes through the points (6,−7,−1)and(2,−3,1)˙
Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.
A line OP
through origin O
is inclined at 300and450→OXandOY,
respectivley. Then find the angle at which it is inclined to OZ˙
The plane which passes through the point (3,2,0)
and the line 1x−3=5y−6=4z−4
Find the equation of plane which is at a distance 144
from the origin and is normal to vector 2i^+j^−3k^˙